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Finding the Fourth Proportional to 953.57, 1,428.91 and 543.51

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Solution

The fourth proportional to 953.57, 1,428.91 and 543.51 is: 814.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.57 : 1,428.91 = 543.51 : x
  2. Step 2: Convert to fraction form
    953.57/1,428.91 = 543.51/x
  3. Step 3: Cross multiply
    953.57x = 1,428.91 × 543.51
  4. Step 4: Simplify right side
    953.57x = 776,625.52
  5. Step 5: Solve for x
    x = 776,625.52/953.57
  6. Step 6: Final answer
    x = 814.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.